Arbitrary order, Hamiltonian conserving numerical solutions of Calogero and Toda systems

DOI10.1016/0898-1221(91)90178-7zbMath0734.65059OpenAlexW2018989355MaRDI QIDQ811095

Donald Greenspan, Andrzej Marciniak

Publication date: 1991

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10106/2258

zbMATH Keywords

Toda latticeHamiltonian systempolynomial extrapolationCalogero systemGragg method

Mathematics Subject Classification ID

Hamilton's equations (70H05) Numerical methods for initial value problems involving ordinary differential equations (65L05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items

Arbitrary order numerical methods conserving integrals for solving dynamic equations

Cites Work

• Energy conserving, arbitrary order numerical solutions of the n-body problem
• Conservative difference formulations of Calogero and Toda Hamiltonian systems
• The solution to a generalized Toda lattice and representation theory
• Conservative numerical methods for \(\ddot x=f(x)\)
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